Electrostatic Printer and two plate capacitors deflecting charged ink droplets

Click For Summary

Homework Help Overview

The discussion revolves around the mechanics of an electrostatic ink-jet printer, specifically focusing on the deflection of charged ink droplets as they pass through electric fields created by parallel electrodes. The problem involves calculating the necessary charge on the electrodes to achieve a specific deflection of the ink droplets, which are characterized by their size, speed, and the physical setup of the printer.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the charge on the electrodes and the resulting electric field, as well as the time it takes for the droplets to reach the paper. Questions about the necessary vertical velocity for deflection and the implications of acceleration are also raised.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the problem. Some have provided insights into the trajectory of the droplets, while others are questioning the assumptions regarding the motion of the droplets between the plates and towards the paper.

Contextual Notes

There are constraints related to the physical dimensions of the printer components and the properties of the ink, which may influence the calculations and assumptions being discussed.

Dester
Messages
3
Reaction score
0

Homework Statement



One type of ink-jet printer, called an electrostatic ink-jet printer, forms letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms 30-μm-diameter drops of ink, charged them by spraying 800,000 electrons on the surface, and shoots them toward the page at a speed of 20 m/s. Along the way, the drops pass through two parallel electrodes that are 6.0 mm long, 4.0 mm wide, and spaced 1.0 mm apart. The distance from the center of the plates to the paper is 2.0 cm. To form the letters which have a maximum hieght of 6.0 mm, the drops need to be deflected up or down at maximum if 3.0 mm. Ink, which consists of dye particles suspended in alcohol, has a density of 800 kg.m^3

What amount of charge is needed on each electrode to produce this electric field

Homework Equations

The Attempt at a Solution



I know qE/m, I found m and q and also E via part A I solved, but now I'm stumped, can anyone give me hand?
 
Last edited by a moderator:
Physics news on Phys.org
How long will a drop take to reach the paper? What vertical velocity will it need to achieve the desired deflection? How long does it have to acquire that velocity? What acceleration does that imply?
 
Doesn't it follow a parabolic trajectory between the plates, sort of acting like a stronger gravitational field?
 
Basic_Physics said:
Doesn't it follow a parabolic trajectory between the plates, sort of acting like a stronger gravitational field?
Sure, but most of the deflection (in terms of distance, as opposed to angle) will occur across the 2cm gap to the paper.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
6K
Replies
6
Views
10K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 9 ·
Replies
9
Views
8K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 5 ·
Replies
5
Views
10K
  • · Replies 12 ·
Replies
12
Views
9K
  • · Replies 2 ·
Replies
2
Views
11K